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Finding the Third Proportional to 329,690.25 and 697,926.38

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Solution

The third proportional to 329,690.25 and 697,926.38 is: 1,477,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,690.25 : 697,926.38 = 697,926.38 : x
  2. Step 2: Convert to fraction form
    329,690.25/697,926.38 = 697,926.38/x
  3. Step 3: Cross multiply
    329,690.25x = 697,926.38 × 697,926.38
  4. Step 4: Simplify right side
    329,690.25x = 487,101,224,920.64
  5. Step 5: Solve for x
    x = 487,101,224,920.64/329,690.25
  6. Step 6: Final answer
    x = 1,477,451.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.